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IP Two identical point charges in free space are connected
Chapter 19, Problem 39P(choose chapter or problem)
Problem 39P
IP Two identical point charges in free space are connected by a string 7.6 cm long. The tension in the string is 0.21 N. (a) Find the magnitude of the charge on each of the point charges, (b) Using the information given in the problem statement, is it possible to determine the sign of the charges? Explain, (c) Find the tension in the string if +1.0 μC of charge is transferred from one point charge to the other. Compare with your result from part (a).
Questions & Answers
QUESTION:
Problem 39P
IP Two identical point charges in free space are connected by a string 7.6 cm long. The tension in the string is 0.21 N. (a) Find the magnitude of the charge on each of the point charges, (b) Using the information given in the problem statement, is it possible to determine the sign of the charges? Explain, (c) Find the tension in the string if +1.0 μC of charge is transferred from one point charge to the other. Compare with your result from part (a).
ANSWER:
Step 1 of 4
(a)
Here we need to calculate the magnitude of the charge on each of the point charges, if two identical point charges are connected using a string of length with tension in the string
.
Here the tension force is equal to electrostatic force and the string length is the separation between charges
.
According coulomb's law, the magnitude of electrostatic force between two charged particles is directly proportional to the product of the magnitude of charges and inversely proportional to the square of the distance between them.
Electrostatic force between two charges at r distance apart,
Electrostatic force on charge 1 due to charge 2 is given by,
………...1
Where is constant,
are two charges at r distance apart.